July 27, 2024Open Access

Pseudo-B\"ottcher components of the wandering set of inner mappings

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Abstract

This article explores the topology of Pseudo-B\"ottcher totally invariant connected components of the wandering set in dynamical systems generated by on-invertible inner (open surjective isolated) mappings of compact surfaces. We describe the possible topological types of these invariant connected subsets, which are more diverse then corresponding components of homeomorphisms.

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I. Yu. Vlasenko (Sat,) studied this question.

synapsesocial.com/papers/68e5ed5ab6db6435875825f4 https://doi.org/https://doi.org/10.48550/arxiv.2407.19251

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